Finite Group Databasebeta

← C31×#13891 #21470650

Subgroups — C31×#13891 #21470650

Order 7936.

1746 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C31×#388C212yesmaximal
2C2×C31×#380C211yesmaximal, characteristic
3C2×C4×C4⋊C4×C31C211yesmaximal, characteristic, complemented
4C2×C4×C22⋊C4×C31C211yesmaximal, characteristic
5C31×#1444C212yesmaximal, complemented
6C31×#1439C212yesmaximal
7C31×#1436C212yesmaximal, complemented
8C31×C4⋊#95C211yesmaximal, characteristic, complemented
9C31×#1434C211yesmaximal, characteristic, complemented
10C31×#1434C211yesmaximal, characteristic, complemented
11C31×C22⋊#95C211yesmaximal, characteristic
12C24×C4×C31C2211yescharacteristic
13C22×C4⋊C4×C31C2212yes—
14C22×C4⋊C4×C31C2212yes—
15C22×C4⋊C4×C31C2212yes—
16C22×C22⋊C4×C31C2212yes—
17C22×C22⋊C4×C31C2212yes—
18C22×C22⋊C4×C31C2211yescharacteristic
19C22×C22⋊C4×C31C2211yescharacteristic
20C22×C42×C31C2212yes—
21C22×C42×C31C2211yescharacteristic
22C22×C42×C31C2211yescharacteristic
23C31×#388—28no—
24C31×#380—24no—
25C4×C4⋊C4×C31—24no—
26C4×C22⋊C4×C31C418yescomplemented
27C2×C31×#95C2211yescharacteristic
28C2×C31×#95C2211yescharacteristic
29C2×C31×#95C2212yes—
30C2×C31×#95C2211yescharacteristic
31C2×C31×#95C2212yes—
32C2×C31×#95C2212yes—
33C2×C31×#95C2212yes—
34C2×C31×#95C2212yes—
35C2×C31×#95C2212yes—
36C2×C31×#95C2211yescharacteristic
37C2×C31×#95C2211yescharacteristic
38C2×C31×#95C2211yescharacteristic
39C25×C31C2311yescharacteristic
40C23×C4×C31—22no—
41C23×C4×C31—24no—
42C23×C4×C31—22no—
43C23×C4×C31—42no—
44C23×C4×C31C2×C414yes—
45C23×C4×C31C2312yes—
46C23×C4×C31C2312yes—
47C23×C4×C31C2311yescharacteristic
48C23×C4×C31C2312yes—
49C23×C4×C31C2312yes—
50C23×C4×C31C2311yescharacteristic
51C23×C4×C31C2311yescharacteristic
52C23×C4×C31C2311yescharacteristic
53C23×C4×C31C2311yescharacteristic
54C23×C4×C31C2311yescharacteristic
55C2×C4⋊C4×C31—24no—
56C2×C4⋊C4×C31—24no—
57C2×C4⋊C4×C31—24no—
58C2×C4⋊C4×C31—24no—
59C2×C4⋊C4×C31—24no—
60C2×C4⋊C4×C31—24no—
61C2×C4⋊C4×C31—24no—
62C2×C4⋊C4×C31—42no—
63C2×C4⋊C4×C31—42no—
64C2×C22⋊C4×C31—24no—
65C2×C22⋊C4×C31—24no—
66C2×C22⋊C4×C31—24no—
67C2×C22⋊C4×C31—24no—
68C2×C22⋊C4×C31—24no—
69C2×C22⋊C4×C31—42no—
70C2×C22⋊C4×C31—42no—
71C2×C22⋊C4×C31C2×C414yes—
72C2×C22⋊C4×C31C2×C414yes—
73C2×C22⋊C4×C31D414yes—
74C2×C22⋊C4×C31Q814yes—
75C2×C42×C31—22no—
76C2×C42×C31—22no—
77C2×C42×C31—24no—
78C2×C42×C31—24no—
79C2×C42×C31—42no—
80C2×C42×C31—42no—
81C2×C42×C31C2×C414yes—
82C2×C42×C31C2×C414yes—
83C31×#95—22no—
84C31×#95—22no—
85C31×#95—24no—
86C31×#95—24no—
87C31×#95—24no—
88C31×#95—24no—
89C31×#95—22no—
90C31×#95—42no—
91C31×#95—42no—
92C31×#95C2×C414yes—
93C31×#95C2×C414yes—
94C31×#95D414yes—
95C24×C31—21no—
96C24×C31—22no—
97C24×C31—22no—
98C24×C31—22no—
99C24×C31—21no—
100C24×C31—21no—
101C24×C31—22no—
102C24×C31—21no—
103C24×C31C22×C412yes—
104C24×C31C2×D412yes—
105C24×C31C2×Q812yes—
106C24×C31C2411yescharacteristic
107C22×C4×C31—21no—
108C22×C4×C31—21no—
109C22×C4×C31—21no—
110C22×C4×C31—21no—
111C22×C4×C31—21no—
112C22×C4×C31—22no—
113C22×C4×C31—22no—
114C22×C4×C31—22no—
115C22×C4×C31—21no—
116C22×C4×C31—21no—
117C22×C4×C31—22no—
118C22×C4×C31—22no—
119C22×C4×C31—22no—
120C22×C4×C31—21no—
121C22×C4×C31—22no—
122C22×C4×C31—22no—
123C22×C4×C31—22no—
124C22×C4×C31—22no—
125C22×C4×C31—22no—
126C22×C4×C31—22no—
127C22×C4×C31—22no—
128C22×C4×C31—22no—
129C22×C4×C31—22no—
130C22×C4×C31—21no—
131C22×C4×C31—22no—
132C22×C4×C31—22no—
133C22×C4×C31—22no—
134C22×C4×C31—22no—
135C22×C4×C31—22no—
136C22×C4×C31—21no—
137C22×C4×C31—28no—
138C22×C4×C31—28no—
139C22×C4×C31—22no—
140C22×C4×C31—22no—
141C22×C4×C31—22no—
142C22×C4×C31—22no—
143C22×C4×C31—22no—
144C22×C4×C31—22no—
145C22×C4×C31—22no—
146C22×C4×C31—22no—
147C22×C4×C31—22no—
148C22×C4×C31—22no—
149C22×C4×C31—22no—
150C22×C4×C31—22no—
151C22×C4×C31—22no—
152C22×C4×C31—22no—
153C22×C4×C31—44no—
154C22×C4×C31—48no—
155C22×C4×C31—48no—
156C22×C4×C31C22×C412yes—
157C22×C4×C31C22×C412yes—
158C22×C4×C31C22×C412yes—
159C22×C4×C31C22×C412yes—
160C22×C4×C31C22×C412yes—
161C22×C4×C31C22×C412yes—
162C22×C4×C31C2×D414yes—
163C22×C4×C31C2×D412yes—
164C22×C4×C31C2×D412yes—
165C22×C4×C31C2×D412yes—
166C22×C4×C31C2×Q812yes—
167C22×C4×C31C2×Q812yes—
168C22×C4×C31#4114yes—
169C22×C4×C31#4114yes—
170C22×C4×C31#4114yes—
171C22×C4×C31#4112yes—
172C4⋊C4×C31—216no—
173C4⋊C4×C31—48no—
174C4⋊C4×C31—48no—
175C22⋊C4×C31—28no—
176C22⋊C4×C31—48no—
177C22⋊C4×C31—48no—
178C22⋊C4×C31C4⋊C4116yescomplemented
179C42×C31—28no—
180C42×C31—44no—
181C42×C31—48no—
182#13891C3111yesmaximal, characteristic, direct product factor, Sylow
183C23×C31—22no—
184C23×C31—22no—
185C23×C31—22no—
186C23×C31—22no—
187C23×C31—22no—
188C23×C31—22no—
189C23×C31—24no—
190C23×C31—24no—
191C23×C31—22no—
192C23×C31—24no—
193C23×C31—22no—
194C23×C31—22no—
195C23×C31—22no—
196C23×C31—24no—
197C23×C31—42no—
198C23×C31—42no—
199C23×C31—42no—
200C23×C31—42no—
201C23×C31—42no—
202C23×C31—42no—
203C23×C31—42no—
204C23×C31—42no—
205C23×C31C2×C4⋊C414yes—
206C23×C31C23×C411yescharacteristic
207C23×C31C22×D411yescharacteristic
208C23×C31C22×D411yescharacteristic
209C23×C31C22×Q811yescharacteristic
210C23×C31C2×#4112yes—
211C23×C31C2×#4112yes—
212C23×C31C2×#4111yescharacteristic
213C23×C31C2×#4112yes—
214C23×C31H(5,𝔽2)12yes—
215C23×C31H(5,𝔽2)11yescharacteristic
216C23×C312−1+411yescharacteristic
217C2×C4×C31—22no—
218C2×C4×C31—22no—
219C2×C4×C31—22no—
220C2×C4×C31—22no—
221C2×C4×C31—22no—
222C2×C4×C31—22no—
223C2×C4×C31—22no—
224C2×C4×C31—22no—
225C2×C4×C31—22no—
226C2×C4×C31—22no—
227C2×C4×C31—24no—
228C2×C4×C31—24no—
229C2×C4×C31—22no—
230C2×C4×C31—24no—
231C2×C4×C31—24no—
232C2×C4×C31—24no—
233C2×C4×C31—22no—
234C2×C4×C31—22no—
235C2×C4×C31—24no—
236C2×C4×C31—24no—
237C2×C4×C31—22no—
238C2×C4×C31—24no—
239C2×C4×C31—22no—
240C2×C4×C31—22no—
241C2×C4×C31—22no—
242C2×C4×C31—24no—
243C2×C4×C31—24no—
244C2×C4×C31—24no—
245C2×C4×C31—24no—
246C2×C4×C31—24no—
247C2×C4×C31—24no—
248C2×C4×C31—416no—
249C2×C4×C31—42no—
250C2×C4×C31—42no—
251C2×C4×C31—42no—
252C2×C4×C31—42no—
253C2×C4×C31—42no—
254C2×C4×C31—42no—
255C2×C4×C31—42no—
256C2×C4×C31—42no—
257C2×C4×C31—42no—
258C2×C4×C31—42no—
259C2×C4×C31—42no—
260C2×C4×C31—42no—
261C2×C4×C31—42no—
262C2×C4×C31—42no—
263C2×C4×C31—42no—
264C2×C4×C31—42no—
265C2×C4×C31—42no—
266C2×C4×C31—42no—
267C2×C4×C31—42no—
268C2×C4×C31—42no—
269C2×C4×C31—42no—
270C2×C4×C31—42no—
271C2×C4×C31—42no—
272C2×C4×C31—42no—
273C2×C4×C31C2×C4⋊C414yes—
274C2×C4×C31C2×C4⋊C414yes—
275C2×C4×C31#11714yes—
276C2×C4×C31#11714yes—
277C2×C4×C31C4×D414yes—
278C2×#388C2×C3112yes—
279C2×#380C2×C3111yescharacteristic
280C2×C4×C4⋊C4C2×C3111yescharacteristic, complemented
281C2×C4×C22⋊C4C2×C3111yescharacteristic
282#1444C2×C3112yescomplemented
283#1439C2×C3112yes—
284#1436C2×C3112yescomplemented
285C4⋊#95C2×C3111yescharacteristic, complemented
286#1434C2×C3111yescharacteristic, complemented
287#1434C2×C3111yescharacteristic, complemented
288C22⋊#95C2×C3111yescharacteristic
289C22×C31—24no—
290C22×C31—24no—
291C22×C31—24no—
292C22×C31—42no—
293C22×C31—42no—
294C22×C31—42no—
295C22×C31—44no—
296C22×C31—44no—
297C22×C31—44no—
298C22×C31—44no—
299C22×C31—42no—
300C22×C31C22×C4⋊C411yescharacteristic
301C22×C31C2×#11711yescharacteristic
302C22×C31C2×#11711yescharacteristic
303C22×C31C2×C4×D411yescharacteristic
304C22×C31C4×#4111yescharacteristic
305C22×C31#51811yescharacteristic
306C22×C31#52011yescharacteristic
307C22×C31#52512yes—
308C22×C31#52912yes—
309C22×C31#53212yes—
310C22×C31#53312yes—
311C22×C31#54012yes—
312C22×C31#54212yes—
313C22×C31D4211yescharacteristic
314C22×C31#54612yes—
315C22×C31#54612yes—
316C22×C31#54711yescharacteristic
317C22×C31D4×Q811yescharacteristic
318C22×C31#55112yes—
319C22×C31#55312yes—
320C22×C31#55411yescharacteristic
321C22×C31#55412yes—
322C22×C31#55612yes—
323C4×C31—24no—
324C4×C31—24no—
325C4×C31—24no—
326C4×C31—24no—
327C4×C31—24no—
328C4×C31—42no—
329C4×C31—44no—
330C4×C31—44no—
331C4×C31—82no—
332C4×C31—82no—
333C24×C4C22×C3111yescharacteristic
334C22×C4⋊C4C22×C3112yes—
335C22×C4⋊C4C22×C3112yes—
336C22×C4⋊C4C22×C3112yes—
337C22×C22⋊C4C22×C3112yes—
338C22×C22⋊C4C22×C3112yes—
339C22×C22⋊C4C22×C3111yescharacteristic
340C22×C22⋊C4C22×C3111yescharacteristic
341C22×C42C22×C3112yes—
342C22×C42C22×C3111yescharacteristic
343C22×C42C22×C3111yescharacteristic
344#388—28no—
345#380—24no—
346C4×C4⋊C4—24no—
347C4×C22⋊C4C4×C3118yescomplemented
348C2×#95C22×C3111yescharacteristic
349C2×#95C22×C3111yescharacteristic
350C2×#95C22×C3112yes—
351C2×#95C22×C3111yescharacteristic
352C2×#95C22×C3112yes—
353C2×#95C22×C3112yes—
354C2×#95C22×C3112yes—
355C2×#95C22×C3112yes—
356C2×#95C22×C3112yes—
357C2×#95C22×C3111yescharacteristic
358C2×#95C22×C3111yescharacteristic
359C2×#95C22×C3111yescharacteristic
360C2×C31—44no—
361C2×C31#228511yescharacteristic
362C2×C31#229011yescharacteristic
363C2×C31#231911yescharacteristic
364C2×C31#234211yescharacteristic
365C2×C31#234711yescharacteristic
366C2×C31D4×C4⋊C411yescharacteristic
367C2×C31#234911yescharacteristic
368C2×C31#246412yes—
369C2×C31#246512yes—
370C2×C31#252112yes—
371C2×C31#252212yes—
372C25C23×C3111yescharacteristic
373C23×C4—22no—
374C23×C4—24no—
375C23×C4—22no—
376C23×C4—42no—
377C23×C4C2×C4×C3114yes—
378C23×C4C23×C3112yes—
379C23×C4C23×C3112yes—
380C23×C4C23×C3111yescharacteristic
381C23×C4C23×C3112yes—
382C23×C4C23×C3112yes—
383C23×C4C23×C3111yescharacteristic
384C23×C4C23×C3111yescharacteristic
385C23×C4C23×C3111yescharacteristic
386C23×C4C23×C3111yescharacteristic
387C23×C4C23×C3111yescharacteristic
388C2×C4⋊C4—24no—
389C2×C4⋊C4—24no—
390C2×C4⋊C4—24no—
391C2×C4⋊C4—24no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—24no—
394C2×C4⋊C4—24no—
395C2×C4⋊C4—42no—
396C2×C4⋊C4—42no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—24no—
402C2×C22⋊C4—42no—
403C2×C22⋊C4—42no—
404C2×C22⋊C4C2×C4×C3114yes—
405C2×C22⋊C4C2×C4×C3114yes—
406C2×C22⋊C4D4×C3114yes—
407C2×C22⋊C4Q8×C3114yes—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—24no—
411C2×C42—24no—
412C2×C42—42no—
413C2×C42—42no—
414C2×C42C2×C4×C3114yes—
415C2×C42C2×C4×C3114yes—
416#95—22no—
417#95—22no—
418#95—24no—
419#95—24no—
420#95—24no—
421#95—24no—
422#95—22no—
423#95—42no—
424#95—42no—
425#95C2×C4×C3114yes—
426#95C2×C4×C3114yes—
427#95D4×C3114yes—
428C31#1389111yescharacteristic, direct product factor, Sylow
429C24—21no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—21no—
434C24—21no—
435C24—22no—
436C24—21no—
437C24C22×C4×C3112yes—
438C24C2×D4×C3112yes—
439C24C2×Q8×C3112yes—
440C24C24×C3111yescharacteristic
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—28no—
472C22×C4—28no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4C22×C4×C3112yes—
491C22×C4C22×C4×C3112yes—
492C22×C4C22×C4×C3112yes—
493C22×C4C22×C4×C3112yes—
494C22×C4C22×C4×C3112yes—
495C22×C4C22×C4×C3112yes—
496C22×C4C2×D4×C3114yes—
497C22×C4C2×D4×C3112yes—
498C22×C4C2×D4×C3112yes—
499C22×C4C2×D4×C3112yes—
500C22×C4C2×Q8×C3112yes—
501C22×C4C2×Q8×C3112yes—
502C22×C4#41×C3114yes—
503C22×C4#41×C3114yes—
504C22×C4#41×C3114yes—
505C22×C4#41×C3112yes—
506C4⋊C4—216no—
507C4⋊C4—48no—
508C4⋊C4—48no—
509C22⋊C4—28no—
510C22⋊C4—48no—
511C22⋊C4—48no—
512C22⋊C4C4⋊C4×C31116yescomplemented
513C42—28no—
514C42—44no—
515C42—48no—
516C23—22no—
517C23—22no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—24no—
523C23—24no—
524C23—22no—
525C23—24no—
526C23—22no—
527C23—22no—
528C23—22no—
529C23—24no—
530C23—42no—
531C23—42no—
532C23—42no—
533C23—42no—
534C23—42no—
535C23—42no—
536C23—42no—
537C23—42no—
538C23C2×C4⋊C4×C3114yes—
539C23C23×C4×C3111yescharacteristic
540C23C22×D4×C3111yescharacteristic
541C23C22×D4×C3111yescharacteristic
542C23C22×Q8×C3111yescharacteristic
543C23C2×#41×C3112yes—
544C23C2×#41×C3112yes—
545C23C2×#41×C3111yescharacteristic
546C23C2×#41×C3112yes—
547C23C31×H(5,𝔽2)12yes—
548C23C31×H(5,𝔽2)11yescharacteristic
549C23C31×2−1+411yescharacteristic
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—24no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—22no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—24no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—416no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4C2×C4⋊C4×C3114yes—
607C2×C4C2×C4⋊C4×C3114yes—
608C2×C4C31×#11714yes—
609C2×C4C31×#11714yes—
610C2×C4C4×D4×C3114yes—
611C22—24no—
612C22—24no—
613C22—24no—
614C22—42no—
615C22—42no—
616C22—42no—
617C22—44no—
618C22—44no—
619C22—44no—
620C22—44no—
621C22—42no—
622C22C22×C4⋊C4×C3111yescharacteristic
623C22C2×C31×#11711yescharacteristic
624C22C2×C31×#11711yescharacteristic
625C22C2×C4×D4×C3111yescharacteristic
626C22C4×#41×C3111yescharacteristic
627C22C31×#51811yescharacteristic
628C22C31×#52011yescharacteristic
629C22C31×#52512yes—
630C22C31×#52912yes—
631C22C31×#53212yes—
632C22C31×#53312yes—
633C22C31×#54012yes—
634C22C31×#54212yes—
635C22D42×C3111yescharacteristic
636C22C31×#54612yes—
637C22C31×#54612yes—
638C22C31×#54711yescharacteristic
639C22D4×Q8×C3111yescharacteristic
640C22C31×#55112yes—
641C22C31×#55312yes—
642C22C31×#55411yescharacteristic
643C22C31×#55412yes—
644C22C31×#55612yes—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—24no—
649C4—24no—
650C4—42no—
651C4—44no—
652C4—44no—
653C4—82no—
654C4—82no—
655C2—44no—
656C2C31×#228511yescharacteristic
657C2C31×#229011yescharacteristic
658C2C31×#231911yescharacteristic
659C2C31×#234211yescharacteristic
660C2C31×#234711yescharacteristic
661C2D4×C4⋊C4×C3111yescharacteristic
662C2C31×#234911yescharacteristic
663C2C31×#246412yes—
664C2C31×#246512yes—
665C2C31×#252112yes—
666C2C31×#252212yes—
subgroupG/H
center, socleC24×C31C24
commutatorC23C23×C4×C31
Frattini, cosocleC24C24×C31
prime radicalC25×C31C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C31 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C2×C4×C4⋊C4×C31C2semidirect
5. C31×#1444C2semidirect
7. C31×#1436C2semidirect
8. C31×C4⋊#95C2semidirect
9. C31×#1434C2semidirect
10. C31×#1434C2semidirect
26. C4×C22⋊C4×C31C4semidirect
178. C22⋊C4×C31C4⋊C4semidirect
182. #13891C31direct (N × H)
280. C2×C4×C4⋊C4C2×C31semidirect
282. #1444C2×C31semidirect
284. #1436C2×C31semidirect
285. C4⋊#95C2×C31semidirect
286. #1434C2×C31semidirect
287. #1434C2×C31semidirect
347. C4×C22⋊C4C4×C31semidirect
428. C31#13891direct (N × H)
512. C22⋊C4C4⋊C4×C31semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C31×#3882
C2×C31×#3802
C2×C4×C4⋊C4×C312
C2×C4×C22⋊C4×C312
C31×#14442
C31×#14392
C31×#14362
C31×C4⋊#952
C31×#14342
C31×C22⋊#952
#1389131